2021 JMPSC Invitationals Problems/Problem 4
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Problem
Let 
and 
be sequences of real numbers such that 
, 
, and, for all positive integers 
,
\begin{align*}
x_{n+1}+y_{n+1} &= 2x_n + 2y_n,\\
x_{n+1}-y_{n+1}&=3x_n-3y_n.
\end{align*} Find 
.
Solution
asdf
